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replaced new tag 'periods' which is very non-specific; perhaps 'ring-of-periods' would be a better choice
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Ricardo Andrade
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Maxim Kontsevich and Don Zagier defined the algebra of periods and conjectured that one can pass from a representation of a given period to another one using only three rules. Assuming this conjecture, can we define the automorphism group of a given period using only these three rules? Can it lead to a method to prove that two periods are equal? Has such a question already been investigated?
Thanks in advance and happy new year.

Maxim Kontsevich and Don Zagier defined the algebra of periods and conjectured that one can pass from a representation of a given period to another one using only three rules. Assuming this conjecture, can we define the automorphism group of a given period using only these three rules? Can it lead to a method to prove that two periods are equal? Has such a question already been investigated?
Thanks in advance and happy new year.

Maxim Kontsevich and Don Zagier defined the algebra of periods and conjectured that one can pass from a representation of a given period to another one using only three rules. Assuming this conjecture, can we define the automorphism group of a given period using only these three rules? Can it lead to a method to prove that two periods are equal? Has such a question already been investigated?
Thanks in advance and happy new year.

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Sylvain JULIEN
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automorphism group of a given period

Maxim Kontsevich and Don Zagier defined the algebra of periods and conjectured that one can pass from a representation of a given period to another one using only three rules. Assuming this conjecture, can we define the automorphism group of a given period using only these three rules? Can it lead to a method to prove that two periods are equal? Has such a question already been investigated?
Thanks in advance and happy new year.